Valen is
v years old. Luke is six times as old as Valen and Fabian is 6 years younger than Luke.
- Express Fabian's age in terms of v.
- Valen is 8 years old as of now. ln how many years' time will Fabian be 3 times as old as Valen?
(a)
Valen's age =
v years
Luke's age = 6
v years
Fabian's age = (6
v - 6) years
(b)
v = 8
Difference in age remains unchanged.
Difference in age between Fabian and Valen
= (6
v - 6) -
v = 6
v -
v - 6
= 5
v - 6
= 5 x 8 - 6
= 34 years
Difference in the age when Fabian will be 3 times as old as Valen
= 3 u - 1 u
= 2 u
2 u = 34
1 u = 34 ÷ 2 = 17
Number of years' time so Fabian will be 3 times as old as Valen
= 17 - 8
= 9 years
Answer(s): (a) (6
v - 6) years; (b) 9 years
